Permanence for the Michaelis-Menten type discrete three-species ratio-dependent food chain model with delay

被引：10
|
作者：
Dai, Binxiang [1 ]
Zhang, Na
Zou, Jiezhong
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 01期
基金：
中国国家自然科学基金;
关键词：
ratio-dependent; permanence; discrete predator-prey model;
D O I：
10.1016/j.jmaa.2005.12.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A discrete three trophic level food chain model with ratio-dependent Michaelis-Menten type functional response is investigated. It is shown that under some appropriate conditions the system is permanent. The results indicate that, to make the species coexist in the long run, it is a surefire strategy to keep the death rate of the predator and top predator rather small and the intrinsic growth rate of the prey relatively large. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：728 / 738
页数：11
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